Category:Definitions/Complex Powers

This category contains definitions related to Complex Powers.
Related results can be found in Category:Complex Powers.

Let $z, k \in \C$ be any complex numbers.

$z$ to the power of $k$ is defined as the multifunction:

$z^k := e^{k \ln \paren z}$

where $e^z$ is the exponential function and $\ln$ is the natural logarithm multifunction.

Pages in category "Definitions/Complex Powers"

The following 6 pages are in this category, out of 6 total.